6(2x+1)=-5(3x-15)

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Solution for 6(2x+1)=-5(3x-15) equation:


Simplifying
6(2x + 1) = -5(3x + -15)

Reorder the terms:
6(1 + 2x) = -5(3x + -15)
(1 * 6 + 2x * 6) = -5(3x + -15)
(6 + 12x) = -5(3x + -15)

Reorder the terms:
6 + 12x = -5(-15 + 3x)
6 + 12x = (-15 * -5 + 3x * -5)
6 + 12x = (75 + -15x)

Solving
6 + 12x = 75 + -15x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '15x' to each side of the equation.
6 + 12x + 15x = 75 + -15x + 15x

Combine like terms: 12x + 15x = 27x
6 + 27x = 75 + -15x + 15x

Combine like terms: -15x + 15x = 0
6 + 27x = 75 + 0
6 + 27x = 75

Add '-6' to each side of the equation.
6 + -6 + 27x = 75 + -6

Combine like terms: 6 + -6 = 0
0 + 27x = 75 + -6
27x = 75 + -6

Combine like terms: 75 + -6 = 69
27x = 69

Divide each side by '27'.
x = 2.555555556

Simplifying
x = 2.555555556

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